Algebraic cycles on a very special EPW sextic

2017/12/16 by Laterveer, Robert
#14C15 #14C25 #14C30 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1712.05982

Abstract

Motivated by the Beauville-Voisin conjecture about Chow rings of powers of K3 surfaces, we consider a similar conjecture for Chow rings of powers of EPW sextics. We prove part of this conjecture for the very special EPW sextic studied by Donten-Bury et alii. We also prove some other results concerning the Chow groups of this very special EPW sextic, and of certain related hyperkähler fourfolds.

Related

• Zero-cycles on double EPW sextics
• The Chow ring of double EPW sextics
• The Beauville-Voisin conjecture for double EPW sextics
• Double EPW sextics associated to Gushel-Mukai surfaces
• Double EPW sextics and the Voisin filtration on zero-cycles